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Simplifying 10z + -7 = 12z + 9 Reorder the terms: -7 + 10z = 12z + 9 Reorder the terms: -7 + 10z = 9 + 12z Solving -7 + 10z = 9 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. -7 + 10z + -12z = 9 + 12z + -12z Combine like terms: 10z + -12z = -2z -7 + -2z = 9 + 12z + -12z Combine like terms: 12z + -12z = 0 -7 + -2z = 9 + 0 -7 + -2z = 9 Add '7' to each side of the equation. -7 + 7 + -2z = 9 + 7 Combine like terms: -7 + 7 = 0 0 + -2z = 9 + 7 -2z = 9 + 7 Combine like terms: 9 + 7 = 16 -2z = 16 Divide each side by '-2'. z = -8 Simplifying z = -8
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